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Effective Ramsey Theorems in the Projective Hierarchy

Kechris, Alexander S. (1982) Effective Ramsey Theorems in the Projective Hierarchy. In: Proceedings of the Herbrand Symposium. Studies in Logic and the Foundations of Mathematics. No.107. Elsevier , Amsterdam, pp. 179-187. ISBN 9780444864178. http://resolver.caltech.edu/CaltechAUTHORS:20130531-145645449

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Abstract

This chapter discusses Ramsey theorems that are effective in the projective hierarchy. The application of Q-theory is quite elementary; it will bring out some of its essential ideas and methods that can be basic ingredients in more elaborate uses and applications of this theory. The chapter proves the main theorem and discusses results related results on Δ^1_(2n+l)- and Q_(2n+l)- encodability, and discusses some related open problems. One of the proof uses Mathias forcing over an appropriate inner model of ZFC.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/S0049-237X(08)71883-4DOIUNSPECIFIED
http://www.sciencedirect.com/science/article/pii/S0049237X08718834PublisherUNSPECIFIED
Additional Information:© 1982 North-Holland Publishing Company. Published by Elsevier B.V. The author is an A. P. Sloan Foundation Fellow. NSF Grant MCS79-20465. Research partially supported by NSF Grant MCS79-20465.
Funders:
Funding AgencyGrant Number
NSFMCS79-20465
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Other Numbering System NameOther Numbering System ID
MathSciNet ReviewMR0757028
Record Number:CaltechAUTHORS:20130531-145645449
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20130531-145645449
Official Citation:Alexander S. Kechris, Effective Ramsey Theorems in the Projective Hierarchy, In: J. Stern, Editor(s), Studies in Logic and the Foundations of Mathematics, Elsevier, 1982, Volume 107, Pages 179-187, ISSN 0049-237X, ISBN 9780444864178, 10.1016/S0049-237X(08)71883-4. (http://www.sciencedirect.com/science/article/pii/S0049237X08718834)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38737
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:31 May 2013 22:22
Last Modified:31 May 2013 22:22

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